Question 3 of 10 What is i^30? O A. -1 B. -1, №18009907, 12.11.2022 03:22

Mathematics

Question 3 of 10 What is i^30? O A. -1 B. -1 C. i O D. 1 SUB

Step-by-step answer

P Answered by Master

-1

Step-by-step explanation:

Rewrite

i^3^0 as (i^4)^7i^2.

Factor out i^2^8.

i^2^8i^2

Rewrite i^2^8 as (i^4)^7

Rewrite i^4 as

Rewrite i^4 as (i^2)^2.

((i^2)^2)^7i^2

Rewrite i^2 as -1.

Raise -1 to the power of 2.

1^7i^2.

One to any power is one.

1i^2

Multiply i^2 by 1.

Rewrite i^2 as -1

[RevyBreeze]

Mathematics

(Sorry for it being so long, I just need help with these questions.) (X represents my answers) 1. -9p - 17 = 10 a. -3 b. 16 c. 18 d. -16 2. w/4 - 4 = 3 a. -4 b. 28 c. 3 d. 11 3. x/5 + 6 = 10 a. 44 b. 30 c. 20 d. -20 4. -2(m - 30) = -6m a. -15 b. -13 c. -8 d. 8 5. 3.75 + 3.7 = 1.7 + 1.75x a. 10 b. -1 c. 1 d. .1 6. -6 - 7(c + 10) a. 64 - 7c b. -76 - 7c c. 4 - 13c d. -16 - 13c 7. 2x + 3(x - 2) - 2(x - 6) a. 2x + 12 b. 2x - 8 c. 8x - 24 d. 2x - 24 8. c + 6 -3 a. r -45 b. r -15 c. r 12 d. r 45 10. -5p -30 a. p 6 b. p -35 d. p 35 13. The total was $29.00

Step-by-step answer

P Answered by PhD

2

1. -9p - 17 = 10

-9p = 10 + 17

-9p = 27

p = -3

2. w/4 - 4 = 3

w/4 = 3 + 4

w/4 = 7

w = 7 · 4

w = 28

3. x/5 + 6 = 10

x/5 = 10 - 6

x/5 = 4

x = 4 · 5

x = 20

4. -2(m - 30) = -6m

-2m + 60 = -6m

-2m + 6m = -60

4m = -60

m = -15

5. 3.75 + 3.7 = 1.7 + 1.75x

1.75x = 3.75 + 3.7 - 1.7

1.75x = 5.75

x = 23/7

6. -6 - 7(c + 10)

= -6 -7c - 70

= -76 - 7c

7. 2x + 3(x - 2) - 2(x - 6)

= 2x + 3x - 6 - 2x + 12

= 3x + 6

8. c + 6 -3

= c + 3

10. -5p > -30

p < 6

13. 29 - 5x = 4; $5.00

14. 64 + w = 2w + 8; 56 pounds

For Q#5, 7, 8, and 10, I got a different answer from the one you provided. I did it the way I was taught to do it, which might be different from what you were taught. Sorry about that; I tried my best.

Mathematics

(Sorry for it being so long, I just need help with these questions.) (X represents my answers) 1. -9p - 17 = 10 a. -3 b. 16 c. 18 d. -16 2. w/4 - 4 = 3 a. -4 b. 28 c. 3 d. 11 3. x/5 + 6 = 10 a. 44 b. 30 c. 20 d. -20 4. -2(m - 30) = -6m a. -15 b. -13 c. -8 d. 8 5. 3.75 + 3.7 = 1.7 + 1.75x a. 10 b. -1 c. 1 d. .1 6. -6 - 7(c + 10) a. 64 - 7c b. -76 - 7c c. 4 - 13c d. -16 - 13c 7. 2x + 3(x - 2) - 2(x - 6) a. 2x + 12 b. 2x - 8 c. 8x - 24 d. 2x - 24 8. c + 6 -3 a. r -45 b. r -15 c. r 12 d. r 45 10. -5p -30 a. p 6 b. p -35 d. p 35 13. The total was $29.00

Step-by-step answer

P Answered by PhD

2

1. -9p - 17 = 10

-9p = 10 + 17

-9p = 27

p = -3

2. w/4 - 4 = 3

w/4 = 3 + 4

w/4 = 7

w = 7 · 4

w = 28

3. x/5 + 6 = 10

x/5 = 10 - 6

x/5 = 4

x = 4 · 5

x = 20

4. -2(m - 30) = -6m

-2m + 60 = -6m

-2m + 6m = -60

4m = -60

m = -15

5. 3.75 + 3.7 = 1.7 + 1.75x

1.75x = 3.75 + 3.7 - 1.7

1.75x = 5.75

x = 23/7

6. -6 - 7(c + 10)

= -6 -7c - 70

= -76 - 7c

7. 2x + 3(x - 2) - 2(x - 6)

= 2x + 3x - 6 - 2x + 12

= 3x + 6

8. c + 6 -3

= c + 3

10. -5p > -30

p < 6

13. 29 - 5x = 4; $5.00

14. 64 + w = 2w + 8; 56 pounds

For Q#5, 7, 8, and 10, I got a different answer from the one you provided. I did it the way I was taught to do it, which might be different from what you were taught. Sorry about that; I tried my best.

Mathematics

Write TRUE if tue statement is correct and FALSE if it is wrong. 1. The additive inverse of 10 is -10. 2. Zero is a positive number. 3. To divide two unlike signs, the quotient is always positive. 4. Commutative Property states that: a + (b + c ) = (a + b ) + c 5. One is the identity element of for addition. Identify the following. 1. It is a distance from zero to any point. 2. A set of number from negative, zero and positive numbers. 3. A horizontal and vertical line with equal scale of negative, zero and positive numbers. 4. It is neither positive

Step-by-step answer

P Answered by PhD

4

The answers are as follows:

TrueFalseFalseFalseFalse

Step-by-step explanation:

Let us look at the statements one by one

1. The additive inverse of 10 is -10.

The additive inverse of a number is the opposite of a number with respect to sign.

The sum of a number and its additive inverse is zero.

10+(-10) = 10-10 = 0

This statement is true.

2. Zero is a positive number.

Zero is neither a positive number nor a negative number. It is only used as reference to decide whether a number is positive or negative.

This statement is false.

3. To divide two unlike signs, the quotient is always positive.

When two unlike signs are divided, the answer will be negative as division involves multiplication, and multiplication of two numbers with unlike signs will always be negative.

This statement is false.

4. Commutative Property states that:

a + (b + c ) = (a + b ) + c

Commutative property deals with two numbers or variables only. The property with three numbers or varibales is associative property. Hence,

This statement is false.

5. One is the identity element of for addition.

Additive identity is a number that when added to a number x, the result will always be x. Zero is additive identity.

Hence,

This statement is false.

The answers are as follows:

TrueFalseFalseFalseFalse

Mathematics

Write TRUE if tue statement is correct and FALSE if it is wrong. 1. The additive inverse of 10 is -10. 2. Zero is a positive number. 3. To divide two unlike signs, the quotient is always positive. 4. Commutative Property states that: a + (b + c ) = (a + b ) + c 5. One is the identity element of for addition. Identify the following. 1. It is a distance from zero to any point. 2. A set of number from negative, zero and positive numbers. 3. A horizontal and vertical line with equal scale of negative, zero and positive numbers. 4. It is neither positive

Step-by-step answer

P Answered by PhD

4

The answers are as follows:

TrueFalseFalseFalseFalse

Step-by-step explanation:

Let us look at the statements one by one

1. The additive inverse of 10 is -10.

The additive inverse of a number is the opposite of a number with respect to sign.

The sum of a number and its additive inverse is zero.

10+(-10) = 10-10 = 0

This statement is true.

2. Zero is a positive number.

Zero is neither a positive number nor a negative number. It is only used as reference to decide whether a number is positive or negative.

This statement is false.

3. To divide two unlike signs, the quotient is always positive.

When two unlike signs are divided, the answer will be negative as division involves multiplication, and multiplication of two numbers with unlike signs will always be negative.

This statement is false.

4. Commutative Property states that:

a + (b + c ) = (a + b ) + c

Commutative property deals with two numbers or variables only. The property with three numbers or varibales is associative property. Hence,

This statement is false.

5. One is the identity element of for addition.

Additive identity is a number that when added to a number x, the result will always be x. Zero is additive identity.

Hence,

This statement is false.

The answers are as follows:

TrueFalseFalseFalseFalse

Chemistry

Calculate the molar solubility of cd(oh)2 when buffered at a ph = 12.30. the ksp for cd(oh)2 is 2.5 x 10-14. calculate the molar solubility of cd(oh)2 when buffered at a ph = 12.30. the ksp for cd(oh)2 is a.2.5 x 10-14 m. b. 8.5 x 10-6 m c. 6.3 x 10-11 m d. 1.3 x 10-12 m e. 5.0 x 10-2 m f. 1.8 x 10-5 m

Step-by-step answer

P Answered by Master

c. 6,3x10⁻¹¹M

Explanation:

The solubility of a buffer is defined as the concentration of the dissolved solid in a saturated solution. For the Cd(OH)₂, solubility is:

[Cd²⁺] = S

The dissolution of Cd(OH)₂ is:

Cd(OH)₂ ⇄ Cd²⁺ + 2OH⁻

And the ksp is defined as:

ksp = [Cd²⁺][OH⁻]²

As ksp = 2,5x10⁻¹⁴ and [OH⁻] at pH=12,30 = 10^-(14-12,30) = 0,01995M

2,5x10⁻¹⁴ = [Cd²⁺]×(0,01995M)²

[Cd²⁺] = 6,3x10⁻¹¹M

That means solubility is c. 6,3x10⁻¹¹M

I hope it helps!

Chemistry

Calculate the molar solubility of cd(oh)2 when buffered at a ph = 12.30. the ksp for cd(oh)2 is 2.5 x 10-14. calculate the molar solubility of cd(oh)2 when buffered at a ph = 12.30. the ksp for cd(oh)2 is a.2.5 x 10-14 m. b. 8.5 x 10-6 m c. 6.3 x 10-11 m d. 1.3 x 10-12 m e. 5.0 x 10-2 m f. 1.8 x 10-5 m

Step-by-step answer

P Answered by Master

c. 6,3x10⁻¹¹M

Explanation:

The solubility of a buffer is defined as the concentration of the dissolved solid in a saturated solution. For the Cd(OH)₂, solubility is:

[Cd²⁺] = S

The dissolution of Cd(OH)₂ is:

Cd(OH)₂ ⇄ Cd²⁺ + 2OH⁻

And the ksp is defined as:

ksp = [Cd²⁺][OH⁻]²

As ksp = 2,5x10⁻¹⁴ and [OH⁻] at pH=12,30 = 10^-(14-12,30) = 0,01995M

2,5x10⁻¹⁴ = [Cd²⁺]×(0,01995M)²

[Cd²⁺] = 6,3x10⁻¹¹M

That means solubility is c. 6,3x10⁻¹¹M

I hope it helps!

Mathematics

Divide by rationalizing the denominator. 3+5i/10+3i A. 25+47i/109 B. 60-18i/109 C. 100-30i/109 D. 45+41i/109

Step-by-step answer

P Answered by Master

D

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate of the denominator.

Note that i² = - 1

The conjugate of 10 + 3i is 10 - 3i , then

$\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}$ ← Expand numerator/denominator using FOIL

= $\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}$ ← simplify

= $\frac{30+41i+15}{100+9}$

= $\frac{45+41i}{109}$ → D

Mathematics

Divide by rationalizing the denominator. 3+5i/10+3i A. 25+47i/109 B. 60-18i/109 C. 100-30i/109 D. 45+41i/109

Step-by-step answer

P Answered by Master

D

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate of the denominator.

Note that i² = - 1

The conjugate of 10 + 3i is 10 - 3i , then

$\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}$ ← Expand numerator/denominator using FOIL

= $\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}$ ← simplify

= $\frac{30+41i+15}{100+9}$

= $\frac{45+41i}{109}$ → D

Chemistry

What is the half-life for a first-order reaction that has a rate constant of 2.3 × 10-4 s-1? A. 3,013 seconds B. 0.00033 seconds C. 0.00016 seconds D. 2,300 seconds

Step-by-step answer

P Answered by PhD

1

Given:

The rate constant of the reaction, (K) = 2.3 × 10 -4 s-1

To find:

The half-life of a reaction.

Formula used:

The half-life of the reaction = 3.013 sec (option A. is correct)

Question 3 of 10
What is i^30?
O A. -1
B. -1
C. i
O D. 1
SUB

Step-by-step answer

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